456817609 has 2 divisors, whose sum is σ = 456817610. Its totient is φ = 456817608.

The previous prime is 456817573. The next prime is 456817619. The reversal of 456817609 is 906718654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456762384 + 55225 = 21372^2 + 235^2 .

It is a cyclic number.

It is not a de Polignac number, because 456817609 - 2⁷ = 456817481 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (456817619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228408804 + 228408805.

It is an arithmetic number, because the mean of its divisors is an integer number (228408805).

Almost surely, 2^456817609 is an apocalyptic number.

It is an amenable number.

456817609 is a deficient number, since it is larger than the sum of its proper divisors (1).

456817609 is an equidigital number, since it uses as much as digits as its factorization.

456817609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 456817609 is about 21373.2919551481. The cubic root of 456817609 is about 770.1599763183.

The spelling of 456817609 in words is "four hundred fifty-six million, eight hundred seventeen thousand, six hundred nine".